13833930 has 96 divisors (see below), whose sum is σ = 37844352. Its totient is φ = 3231360.

The previous prime is 13833913. The next prime is 13833943. The reversal of 13833930 is 3933831.

13833930 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134259 + ... + 134361.

It is an arithmetic number, because the mean of its divisors is an integer number (394212).

Almost surely, 2^13833930 is an apocalyptic number.

13833930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13833930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18922176).

13833930 is an abundant number, since it is smaller than the sum of its proper divisors (24010422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13833930 is a wasteful number, since it uses less digits than its factorization.

13833930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 13833930 is about 3719.3991450233. The cubic root of 13833930 is about 240.0574515239.

Subtracting from 13833930 its reverse (3933831), we obtain a palindrome (9900099).

The spelling of 13833930 in words is "thirteen million, eight hundred thirty-three thousand, nine hundred thirty".